Which of the following points represents $2 \frac{1}{2}$?
Answer (2)
The mixed number 2 2 1 converts to the decimal 2.5. To find the corresponding point on a number line, look for the point at 2.5. Without the specific options, we cannot select a point but clarify that it is equivalent to 2.5.
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Convert the mixed number 2 2 1 to a decimal.
Recognize that 2 2 1 = 2 + 2 1 .
Convert the fraction 2 1 to the decimal 0.5 .
Add the whole number and decimal: 2 + 0.5 = 2.5 .
Explanation
Problem Analysis We are asked to identify the point that represents the number 2 2 1 . First, we need to convert the mixed number to a decimal to make it easier to locate on a number line or coordinate system.
Converting to Decimal To convert the mixed number 2 2 1 to a decimal, we can rewrite it as 2 + 2 1 . We know that 2 1 is equal to 0.5 , so 2 2 1 = 2 + 0.5 = 2.5 .
Identifying the Point Now, we need to identify which point corresponds to the value 2.5 . Assuming we have a set of points to choose from (which is not provided in the problem description), we would look for the point that is located at 2.5 on the number line. Since the problem does not provide the points, we cannot give a specific answer. However, if we were given options, we would choose the one that corresponds to 2.5.
Final Answer Without the actual points to choose from, we can only state that the point representing 2 2 1 is the point at 2.5 .
Examples
Understanding fractions and decimals is essential in everyday situations, such as measuring ingredients for a recipe. For example, if a recipe calls for 2 2 1 cups of flour, knowing that this is the same as 2.5 cups allows you to accurately measure the correct amount using a measuring cup or a digital scale. This skill is also useful when calculating distances, such as determining that a location 2.5 miles away is the same as 2 2 1 miles.
